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Finding the Fourth Proportional to 100,438.38, 138,604.56 and 55,117.12

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Solution

The fourth proportional to 100,438.38, 138,604.56 and 55,117.12 is: 76,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,438.38 : 138,604.56 = 55,117.12 : x
  2. Step 2: Convert to fraction form
    100,438.38/138,604.56 = 55,117.12/x
  3. Step 3: Cross multiply
    100,438.38x = 138,604.56 × 55,117.12
  4. Step 4: Simplify right side
    100,438.38x = 7,639,484,166.07
  5. Step 5: Solve for x
    x = 7,639,484,166.07/100,438.38
  6. Step 6: Final answer
    x = 76,061.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.